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Phase-engineered bosonic quantum codes

Li, Linshu and Young, Dylan J. and Albert, Victor V. and Noh, Kyungjoo and Zou, Chang-Ling and Jiang, Liang (2021) Phase-engineered bosonic quantum codes. Physical Review A, 103 (6). Art. No. 062427. ISSN 2469-9926. doi:10.1103/physreva.103.062427.

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Continuous-variable systems protected by bosonic quantum codes have emerged as a promising platform for quantum information. To date, the design of code words has centered on optimizing the state occupation in the relevant basis to generate the distance needed for error correction. Here, we show tuning the phase degree of freedom in the design of code words can affect, and potentially enhance, the protection against Markovian errors that involve excitation exchange with the environment. As illustrations, we first consider phase engineering bosonic codes with uniform spacing in the Fock basis that correct excitation loss with a Kerr unitary and show that these modified codes feature destructive interference between error code words and, with an adapted “two-level” recovery, the error protection is significantly enhanced. We then study protection against energy decay with the presence of mode nonlinearities and analyze the role of phase for optimal code designs. We extend the principle of phase engineering to bosonic codes defined in other bases and multiqubit codes, demonstrating its broad applicability in quantum error correction.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Li, Linshu0000-0001-8796-2453
Albert, Victor V.0000-0002-0335-9508
Noh, Kyungjoo0000-0002-6318-8472
Jiang, Liang0000-0002-0000-9342
Alternate Title:Designing good bosonic quantum codes via creating destructive interference
Additional Information:© 2021 American Physical Society. (Received 1 January 2021; accepted 2 June 2021; published 29 June 2021) We thank L. Pryadko, P. Faist, M. Zhang, S. Zhou, and W. Ma for helpful discussions. We acknowledge support from the ARL-CDQI (Grants No. W911NF-15-2-0067 and No. W911NF-18-2-0237), ARO (Grants No. W911NF-18-1-0020 and No. W911NF-18-1-0212), ARO MURI (Grant No. W911NF-16-1-0349), AFOSR MURI (Grants No. FA9550-14-1-0052 and No. FA9550-15-1-0015), DOE (Grants No. DE-SC0019406), NSF (Grant No. EFMA-1640959), and the Packard Foundation (Grant No. 2013-39273). This work was done before K.N. joined AWS Center for Quantum Computing.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Army Research LaboratoryW911NF-15-2-0067
Army Research LaboratoryW911NF-18-2-0237
Army Research Office (ARO)W911NF-18-1-0020
Army Research Office (ARO)W911NF-18-1-0212
Army Research Office (ARO)W911NF-16-1-0349
Air Force Office of Scientific Research (AFOSR)FA9550-14-1-0052
Air Force Office of Scientific Research (AFOSR)FA9550-15-1-0015
Department of Energy (DOE)DE-SC0019406
David and Lucile Packard Foundation2013-39273
Issue or Number:6
Record Number:CaltechAUTHORS:20210709-212642251
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109764
Deposited By: George Porter
Deposited On:09 Jul 2021 21:52
Last Modified:16 Nov 2021 19:37

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